Article
Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals
Author/s | Climent Ezquerra, María Blanca
Guillén González, Francisco Manuel |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2022-10-06 |
Deposit Date | 2023-04-25 |
Published in |
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Abstract | We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a Navier–Stokes system for the fluid velocity with a time-dependent system for the Q-tensor variable, ... We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a Navier–Stokes system for the fluid velocity with a time-dependent system for the Q-tensor variable, whose spectral decomposition is related to the directors of liquid crystal molecules. The long-time behavior for global weak solutions is studied, proving that each whole trajectory converges to a single equilibrium whenever a regularity hypothesis is satisfied by the energy of the weak solution. |
Citation | Climent Ezquerra, M.B. y Guillén González, F.M. (2022). Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 24 (4), 106-1. https://doi.org/10.1007/s00021-022-00730-2. |
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